6 th grade 7 th grade Course 2 7 th grade - Accelerated 8 th grade Pre-Algebra 8 th grade Algebra

Transcription

1 0

2 September Factors and Multiples Ratios Rates Ratio Tables Graphing Ratio Tables Problem Solving: The Four- Step Plan Equivalent Ratios Ratio/Rate Problems Decimals and Fractions Rates Complex Fractions and Unit Rates Convert Unit Rates Proportional and Nonproportional Relationships Problem Solving: The Four Step Plan Graph Proportional Relationships Solve Proportional Relationships Constant Rate of Change Slope Direct Variation Planning for Problem Solving Words and Expressions (Order of Operations) Variables and Expressions Properties of Numbers Problem Solving Strategies (Look for a Pattern, Guess, Check and Revise, Make a Table, Work Backward) Ordered Pairs and Relations Words, Equations, Tables, and Graphs Integers and Absolute Value Adding Integers Subtracting Integers Integer Review (-1 through 2-4 in SFAW Course 3 Text) Converting Between Fractions and Decimals Rational Number Operations (Chapter 7-5 and 7-6 from SFAW Course 3) Powers and Exponents Multiplying and Dividing Polynomials Powers of Monomials Chapter 0 Real Numbers (Sets of Numbers, Comparing Rational Numbers) Variables and Expressions Order of Operations Properties of Numbers Distributive Property and Combining Like Terms Equations Solve Equations with 2 Variables Relations Functions Interpreting Graphs of Functions Writing Equations 1

3 November October, continued, continued, continued, continued Model Percents Percents and Fractions Percents and Decimals Percents Greater Than 100% and Less Than 1% Problem Solving: Solve a Simpler Problem Compare and Order Fractions, Decimals, and Percents Estimate With Percents Percent of a Number Solving Percent Problems Percent Diagrams Percent of a Number Percent and Estimation Find Percents The Percent Proportion The Percent Equation Problem Solving: Determine Reasonable Answers Percent of Change Sales Tax, Tips, and Markups Discount Simple Interest Multiplying Integers Dividing Integers Graphing in the Four Quadrants Fractions and Decimals Rational Numbers Multiplying Rational Numbers Dividing Rational Numbers Adding and Subtracting Like and Unlike Fractions Pre- Negative Exponents Scientific Notation Computing with Scientific Notation Roots Estimating Roots Comparing Real Numbers, graphing real/rational numbers on a number line 1-step Integer Equations (, Sections 4 and 5 in SFAW Course 3 Text) Solving One-Step Equations Solving Multi-Step Equations Solving Equations with the Variable on Each Side Solving Equations Involving Absolute Value Ratios and Proportions Percent of Change Literal Equations Add and Subtract Decimals Estimate Products Multiply Decimals by Whole Numbers Multiply Decimals by Decimals Multiply by Powers of Ten Problem Solving: Look for a Pattern Divide Multi-digit Numbers Estimate Quotients Integers and Absolute Value Add and Subtract Integers Distance on a Number Line Problem Solving: Look for a Pattern Multiply Integers Use Properties to Multiply Divide Integers Ratios Unit Rates Complex Fractions and Unit Rates Converting Rates Proportional and Nonproportional Relationships Solve Equations with Rational Coefficients Solve 2-Step Equations Write 2-Step Equations Problem Solving:Work Backward Combining Like Terms Graphing Linear Equations Rate of Change and Slope Direct Variation Arithmetic Sequences as Linear Functions 2

4 December, continued, continued, continued, continued Divide Decimals by Whole Numbers Divide Decimals by Decimals Mixed Number/Improper Fraction Review Add and Subtract Fractions Estimate Products of Fractions Multiply Fractions and Whole Numbers Multiply Fractions Multiply Mixed Numbers Rational Numbers on the Number Line Terminating and Repeating Decimals Compare and Order Rational Numbers Add and Subtract on the Number Line Add and Subtract Like and Unlike Fractions Add and Subtract Mixed Numbers Problem Solving: Draw a Diagram Graphing Proportional Relationships Solving Proportions Scale Drawings and Models Similar Figures Indirect Measurement Chapter 6 Using the Percent Proportion Distributive Property (2-5 and 10-8 from SFAW Course 3 Text) Equations with Variables on Both Sides Solve Multi-Step Equations Constant Rate of Change Slope Proportional and Nonproportional Relationships Graphing Equations in Slope- Intercept Form The Family of Linear Graphs Writing Equations in Slope-Intercept Form Writing Equations in Point-Slope Form Parallel and Perpendicular Lines 3

5 January, continued, continued Chapter 6, continued, continued, continued Convert Measurement Units Problem Solving: Draw a Diagram Whole Number Divided by a Fraction Divide Fractions Divide Mixed Numbers Integers Absolute Value Compare and Order Integers Problem Solving: Work Backward Number Lines: Model and Compare Terminating and Repeating Decimals Multiply Fractions Convert Between Systems Divide Fractions Algebraic Expressions Sequences Properties of Operations The Distributive Property Problem Solving: Make a Table Simplify Algebraic Expressions. Finding the Percent of a Number Mentally Using the Percent Equation Percent Applications Taxes Percent of Change Discount and Markup Simple and Compound Interest Chapter 7 The Distributive Property Simplifying Algebraic Expressions Factoring Linear Expressions Equations in y=mx+b Form Slope-Intercept Form Graph a Line Using Intercepts Standard Form Problem Solving: Guess, Check, and Revise Write Linear Equations Solve Systems of Equations by Graphling Solve Systems of Equations Algebraically Analyze Systems Scatter Plots and Lines of Fit Regression Lines Solving Inequalities by Addition and Subtraction Solving Inequalities by Multiplication and Division Solving Multi-Step Inequalities Solving Compound Inequalities Inequalities Involving Absolute Value Graphing Inequalities in Two Variables 4

6 February, continued, continued Chapter 6 Compare and Order Rational Numbers Coordinate Plane Graph on the Coordinate Plane Distance on the Coordinate Plane Chapter 6 Identify Parts of an Expression Powers and Exponents Numerical Expressions Variables and Expressions Write Expressions Add Linear Expressions Subtract Linear Expressions Factor Linear Expressions Chapter 6 Solve One-Step Addition and Subtraction Equations Multiplication and Division Equations Solve Equations with Rational Coefficients Solve Two-Step Equations 1- step Equations (pre-text) Solving Equations with Rational Coefficients Solving Two-Step Equations Writing Equations More Two-Step Equations (Using the Distributive Property) Solving Equations with Variables on Each Side Inequalities Solving Inequalities Representing Relationships Relations Functions Linear Functions Problem Solving: Make a Table Compare Properties of Functions Construct Functions Linear and Nonlinear Functions * Graphing Systems of Equations Substitution Elimination Using Addition and Subtraction Elimination Using Multiplication Parallel and Perpendicular Lines Scatter Plots and Lines of Fit Regression Lines 5

7 March, continued Chapter 6, continued 0 Chapter 7 Algebraic Properties The Distributive Property Equivalent Expressions Chapter 7 (Compressed Chapter) Equations Solve and Write Addition Equations Solve and Write Subtraction Equations Problem Solving: Guess, Check, and Revise Solve and Write Multiplication Equations Solve and Write Division Equations If time allows, do Part A of More Two-Step Equations Problem Solving: Work Backward Solve Inequalities by Addition or Subtraction Solve Inequalities by Multiplication or Division Solve Two-Step Inequalities Chapter 7 Classify Angles Complementary and Supplementary Angles Create Triangles Problem Solving: Make a Model Scale Drawings Measures of Center Measures of Variability Mean Absolute Deviation Compare Populations Probability of Simple Events Relative Frequency and Probability Theoretical and Experimental Probability Probability of Compound Events 1 Angle and Line Relationships Lines and Transversals Triangles Angles of Triangles Polygons and Angles Problem Solving: Look for a Pattern Pythagorean Theorem Use the Pythagorean Theorem Chapter 9 Problem Solving: Use a Graph Descriptive Statistics Measures of Variation Analyze Data Distribution Multiplication Properties of Exponents Division Properties of Exponents Rational Exponents Scientific Notation Adding and Subtracting Polynomials Multiplying a Polynomial by a Monomial Multiplying Polynomials Special Products Function Tables Function Rules Functions and Equations Multiple Representations of Functions Problem Solving: Make a Table 6

8 April Inequalities Write and Graph Inequalities Solve 1-Step Inequalities 1 Mean Median and Mode Measures of Variation Mean Absolute Deviation Appropriate Measures Chapter 9 Area of Parallelograms Area of Triangles Area of Trapezoids Chapter 7, continued Draw Three-Dimensional Figures Cross Sections Circumference Area of Circles Area of Composite Figures Volume of Prisms Problem Solving: Solve a Simpler Problem Nets of Three-Dimensional figures Surface Area of Prisms Relate Surface Area and Volume 1, continued Triangles Polygons 2 Area of Composite Figures Three Dimensional Figures Volume of Prisms Volume of Cylinders Surface Area of Prisms Surface Area of Cylinders Chapter 9, continued Scatter Plots Lines of Best Fit Two Way Tables 3D Figures Volumes of Cylinders Volume of Cones Volume of Spheres Problem Solving: Solve a Simpler Problem, continued Using the Distributive Property Solving x 2 + bx + c = 0 Differences of Squares Perfect Squares 0 Simplifying Radical Expressions Operations with Radical Expressions Pythagorean Theorem Distance on the Coordinate Plane 7

9 May Chapter 9, continued Chapter 9, continued 1 Problem Solving: Draw a Diagram Polygons on the Coordinate Plane Area of Irregular Figures 0 Volume of Rectangular Prism Volume of Triangular Prism Surface Area 2 (if time allows) Line Plots Histograms Box Plots Probability of Simple Events Relative Frequency Theoretical and Experimental Probability Fair and Unfair Games Probability of Compound Events Problem Solving: Act It Out Fundamental Counting Principle Permutations Independent and Dependent Events 0 (if time allows) Make Predictions Misleading Graphs and Statistics Problem Solving :Use a Graph Collect Data Compare Populations Select An Appropriate Display Powers and Exponents Negative Exponents Multiplying and Dividing Monomials Scientific Notation Computing with Scientific Notation Square Roots and Cube Roots The Real Number System Chapter 9 (If time allows) Functions Representing Linear Functions Constant Rate of Change and Slope Direct Variation Surface Area of Cylinders Nets of Cones Surface Area of Cones Similar Polygons Indirect Measurement Chapter 6 (if time allows) Translations Reflections Problem Solving: Act It Out Rotations Dilations Chapter 7 (f time allows) Composition of Transformations Congruence and Transformations Congruence Problem Solving: Draw a Diagram 2 Simplifying Rational Expressions Multiplying and Dividing Rational Expressions (if time allows) Dividing Polynomials (if time allows) (Lesson 0-12 and 0-13 to be completed as independent study during school year) Statistics and Parameters Mean Absolute Deviation Distributions of Data Box & Whisker Plot/ Histogram Probability of Compound Events 8